Atkin-Lehner |
2+ 5+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38870f |
Isogeny class |
Conductor |
38870 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
4618290851200000 = 210 · 55 · 137 · 23 |
Discriminant |
Eigenvalues |
2+ -3 5+ 1 4 13+ 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-42535,-832259] |
[a1,a2,a3,a4,a6] |
Generators |
[270:2569:1] |
Generators of the group modulo torsion |
j |
1763228727441/956800000 |
j-invariant |
L |
2.7347060863821 |
L(r)(E,1)/r! |
Ω |
0.35449241648144 |
Real period |
R |
0.9643034516522 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2990g1 |
Quadratic twists by: 13 |